Question

Find the quotient and the remainder when each of the following number is divided by $304$:
$128,636,785,1038,2236,8858,13765,58876$

Answer 1

$Fast$ $Approach$ to find quotient and remainder is

Splitting a Number into Two Parts such as

$\Rightarrow 636=608+28=304\times 2+28$ therefore $q=2$ and $r=28$

Similarly we can Split other numbers

in case of $128$,which is less than $304$

$\Rightarrow 128=304\times 0+128$ therefore $q=0$ and $r=128$

Repeating Above Technique

$785\Rightarrow q=2$ and $r=177$

$1038\Rightarrow q=3$ and $r=126$

$2236\Rightarrow q=7$ and $r=108$

$13765\Rightarrow q=45$ and $r=85$

$58876\Rightarrow q=193$ and $r=204$